Home / 2,102.85-3,154.19-1,003.86

Finding the Fourth Proportional to 2,102.85, 3,154.19 and 1,003.86

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Solution

The fourth proportional to 2,102.85, 3,154.19 and 1,003.86 is: 1,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.85 : 3,154.19 = 1,003.86 : x
  2. Step 2: Convert to fraction form
    2,102.85/3,154.19 = 1,003.86/x
  3. Step 3: Cross multiply
    2,102.85x = 3,154.19 × 1,003.86
  4. Step 4: Simplify right side
    2,102.85x = 3,166,360.15
  5. Step 5: Solve for x
    x = 3,166,360.15/2,102.85
  6. Step 6: Final answer
    x = 1,505.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.